Antocho, zdravstvooytye, droog! G'de della?
So, you want to reduce nitrostyrenes, but you don't want to use LAH? I'm assuming you must not to want to use hydrogenation either, though when it comes to economies of scale, this method effectively reigns supreme.
I like your thinking. Yes, NaAlH4 will do the trick as others have pointed out, but then you have the problem of acquiring or producing that.
Alternatively, under aprotic conditions you can combine NaBH4 and add a little LiCl (or better yet LiBr) to obtain LiBH4 in situ - a much, much more powerful reducing agent.
Here's a quick, overly-simplified lesson on the chemistry of borohydrides and aluminum hydrides and their activity. When the metals complex with BH4- or AlH4-, the relative size of the metal atoms has a huge effect. For example, with Li+, the overlap of electron orbitals around the Li is much too small to really overlap much with BH4-, plus lithium is not so free-and-easy with giving up its elecxtrons like a cation is supposed to (at least compared to other metals.) The result: the borohydride is very reactive. LiBH4- readily reacts with water or simple alcohols, just like LiAlH4. LiBH4 can reduce nitro groups to amino groups.
If instead we complex BH4- with Na+, we have a much better match-up. Na+ has a much larger electron cloud, and is much more willing to give up its electrons. Hence, we have a much more stable complex, and NaBH4 is fairly stable even in the presence of water or alcohols. It isn't going to be able to reduce a nitro group.
If we go further down the table of elements, we will have KBH4, a compound that is even more stable.
Incidentally, there's also the classic rocket fuel Aluminum borohydride ( Al(BH4)3 ) as well - made by reacting 1 AlCl3 with 3 NaBH4 under aprotic conditins, this is actually a distillable liquid, and is extremely pyrophoric. Now with three borohydrides all sharing one stingey, pitiful little metallic center, this one really has some reactivity. As far as nitrostyrene reduction goes, I'm sure it'll get the job done; just don't expose it to moist air, or BOOM!!
Now, back to your question: what other options are out there? Well, there's electrolytic reduction, there's Vitride in toluene, there's zinc amalgam in alcohol, and borane in THF or ether. Actually, for the price, there's also sodium amalgam - once the method of choice, now poo-pooed for a number of different reasons.
I hope this helps...